Question

The annual per capita consumption of bottled water was 34.7 gallons. Assume that the per capita consumption of bottled water is approximately normally distributed with a mean of 34.7 and a standard deviation of 10 gallons.

a. What is the probability that someone consumed more than 45 gallons of bottled​ water?

b. What is the probability that someone consumed between 25 and 35 gallons of bottled​ water?

c. What is the probability that someone consumed less than 25 gallons of bottled​ water?

d. 99​% of people consumed less than how many gallons of bottled​ water?

Answer 1

Given that, mean = 34.7 gallons

standard deviation = 10 gallons

a) we want to find, P(X > 45)

Therefore, the probability that someone consumed more than 45 gallons of bottled​ water is 0.1515

b) We want to find, P(25 < X < 35)

Therefore, the probability that someone consumed between 25 and 35 gallons of bottled​ water is 0.3460

c) We want to find, P(X < 25)

Therefore, the probability that someone consumed less than 25 gallons of bottled​ water is 0.5120

d) We want to find, the value of x such that, P(X < x)=0.99

Therefore,  99​% of people consumed less than how 58.0 gallons of bottled​ water.